Question

Alex purchased $3\frac{2}{5}\text{kg}$ of rice from one shop and $4\frac{2}{5}\text{kg}$ of rice from another shop. How much rice did he buy in all?

• A. $7\frac{1}{5}\text{kg}.$
• B. $7\frac{2}{5}\text{kg}.$
• C. $7\frac{3}{5}\text{kg}.$
• D. $7\frac{4}{5}\text{kg}.$

Answer 1

The correct option is D $7\frac{4}{5}\text{kg}.$

Rice bought from one shop
$=3\frac{2}{5}=\frac{17}{5}\text{kg}$
Rice bought from the other shop
$=4\frac{2}{5}=\frac{22}{5}\text{kg}$
Total quantity of sugar purchased
$=(\frac{17}{5}+\frac{22}{5})\text{kg}$

$=\left(\frac{17+22}{5}\right)\text{kg}$

$=\frac{39}{5}\text{kg}$

$=7\frac{4}{5}\text{kg}$

Thus, the total quantity of sugar purchased equals $7\frac{4}{5}\text{kg}.$